Numerical solutions for temperature fields in electric coils

THE MAXIMUM PERMISSIBLE electric loading of a coil is restricted by the allowable temperature rise in the coil cross section. In order to establish this peak loading, the designer must compute the maximum temperature or general temperature distribution that is peculiar to each new cross-section profile under design loading. A technique for computing these general temperature fields t(x, y) which combines simplicity with both flexibility and accuracy is the numerical-relaxation method of Emmons and Southwell.